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Growth model of the reared sea urchin Paracentrotus ... - SciViews

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Table <strong>of</strong> contents<br />

TABLE OF CONTENTS<br />

ACKNOWLEDGEMENTS.............................................................................. 3<br />

ABSTRACT.................................................................................................. 5<br />

RESUME ..................................................................................................... 7<br />

TABLE OF CONTENTS................................................................................. 9<br />

LIST OF FIGURES...................................................................................... 13<br />

LIST OF TABLES ....................................................................................... 17<br />

LIST OF EQUATIONS................................................................................. 19<br />

LIST OF SYMBOLS .................................................................................... 23<br />

FOREWORD.............................................................................................. 29<br />

GENERAL INTRODUCTION ....................................................................... 31<br />

Economical interest <strong>of</strong> <strong>sea</strong> <strong>urchin</strong>s .........................................................................32<br />

a. Sea <strong>urchin</strong> markets and fisheries .........................................................................32<br />

b. Aquaculture potentials .........................................................................................34<br />

Overview <strong>of</strong> <strong>the</strong> biology <strong>of</strong> <strong>Paracentrotus</strong> lividus ..................................................35<br />

<strong>Growth</strong> <strong>model</strong>s .........................................................................................................42<br />

a. The exponential curve, a simple Malthusian growth <strong>model</strong> ................................42<br />

b. The logistic function for asymptotic growth ........................................................44<br />

c. The Gompertz <strong>model</strong>, an asymmetrical sigmoidal curve .....................................45<br />

d. The von Bertalanffy curves ..................................................................................46<br />

e. The Richards <strong>model</strong>, a flexible curve that contains many o<strong>the</strong>rs.........................47<br />

f. The Weibull <strong>model</strong>, a polyvalent and flexible function.........................................48<br />

g. The Jolicoeur curve, ano<strong>the</strong>r flexible <strong>model</strong>........................................................49<br />

h. The Johnson <strong>model</strong>, a heavily asymmetrical sigmoid..........................................50<br />

i. The Preece-Baines 1 <strong>model</strong> for human growth.....................................................51<br />

j. The Tanaka <strong>model</strong> for indeterminate growth........................................................51<br />

Modelling <strong>sea</strong> <strong>urchin</strong>s growth.................................................................................52<br />

a. Choice <strong>of</strong> <strong>the</strong> growth <strong>model</strong> for <strong>sea</strong> <strong>urchin</strong>s ........................................................53<br />

b. Fitting <strong>of</strong> growth <strong>model</strong>s on real data for echinoids ...........................................56<br />

AIM OF THE THESIS.................................................................................. 61<br />

PART I: SET UP OF AN EXPERIMENTAL REARING PROCEDURE FOR<br />

ECHINOIDS ............................................................................................... 65<br />

9

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